//================================= // Created on: 2018/11/09 21:30:39 //================================= #include using ll = __int128_t; int main() { long long P; int Q; std::cin >> P >> Q; constexpr ll SQRT = 32000; std::vector f(SQRT + 1, 0); for (ll i = 1; i <= SQRT; i++) { f[i] = P % i; } for (int i = 1; i <= SQRT; i++) { f[i] += f[i - 1]; } std::vector r, s, t, b; for (ll i = SQRT; i >= 1; i--) { const ll S = (P + i) / (i + 1); const ll T = P / i; if (T >= S) { r.push_back(i), s.push_back(S), t.push_back(T); const ll sum = P * (T - S + 1) - (S + T) * (T - S + 1) / 2 * i; b.push_back(sum); } } s.push_back(P + 1); for (int i = 1; i < b.size(); i++) { b[i] += b[i - 1]; } for (int q = 0; q < Q; q++) { long long L, R; std::cin >> L >> R; L = (ll)(L), R = (ll)(R); if (R <= SQRT) { std::cout << (long long)(f[R] - f[L - 1]) << std::endl; } else if (L > P) { std::cout << (R - L + 1) * (L + R) / 2 << std::endl; } else { ll ans = (L > SQRT) ? 0 : f[SQRT] - f[L - 1]; ans += (R > P) ? (R - P) * (R + P + 1) / 2 : 0; if (R > P) { R = P; } if (L <= SQRT) { L = SQRT + 1; } const ll lind = std::lower_bound(s.begin(), s.end(), L) - s.begin(); const ll rind = std::upper_bound(t.begin(), t.end(), R) - t.begin() - 1; if (rind >= lind) { ans += b[rind] - b[lind - 1]; } const ll T = t[lind - 1]; ll sum = (2 * P - r[lind - 1] * (L + T)) * (T - L + 1) / 2; ans += sum; const ll S = s[rind + 1]; sum = (2 * P - r[rind + 1] * (S + R)) * (R - S + 1) / 2; ans += sum; std::cout << (long long)ans << std::endl; } } return 0; }